{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 1. Diffusion equation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The [diffusion equation](https://en.wikipedia.org/wiki/Diffusion_equation) reads\n",
    "$$\\frac{\\partial c}{\\partial t} + \\nabla. (-D \\nabla c) = 0$$\n",
    "This equation describe many transport processes, e.g., heat transfer by conduction and mass transfer by diffusion."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.1 Steady-state diffusion equation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we solve a diffusion equation on a rectangular domain with fixed value on each boundary:\n",
    "$$\\nabla. (-D \\nabla c) = 0$$\n",
    "Boundary conditions:\n",
    "$$c(x=0,\\; y)=1.0$$\n",
    "$$c(x=L_x,\\; y)=3.0$$\n",
    "$$c(x,\\; y=0)=2.0$$\n",
    "$$c(x,\\; y=L_y)=4.0$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7f1cf468ff10>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.colorbar.Colorbar object at 0x7f1cf464a890>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using JFVM\n",
    "\n",
    "# domain\n",
    "Lx = 2.0\n",
    "Ly = 1.0\n",
    "Nx = 30\n",
    "Ny = 20\n",
    "c_left   = 1.0\n",
    "c_right  = 3.0\n",
    "c_bottom = 2.0\n",
    "c_top    = 4.0\n",
    "m  = createMesh2D(Nx, Ny, Lx, Ly)\n",
    "\n",
    "# diffusion coefficient\n",
    "D_val  = 1e-5 # [m^2/s]\n",
    "D_cell = createCellVariable(m, D_val)\n",
    "D_face = harmonicMean(D_cell)\n",
    "M_diff = diffusionTerm(D_face)\n",
    "\n",
    "# Boundary conditions\n",
    "BC             = createBC(m)\n",
    "BC.left.a[:]   = 0.0\n",
    "BC.left.b[:]   = 1.0\n",
    "BC.left.c[:]   = c_left\n",
    "BC.right.a[:]  = 0.0\n",
    "BC.right.b[:]  = 1.0\n",
    "BC.right.c[:]  = c_right\n",
    "BC.bottom.a[:] = 0.0\n",
    "BC.bottom.b[:] = 1.0\n",
    "BC.bottom.c[:] = c_bottom\n",
    "BC.top.a[:]    = 0.0\n",
    "BC.top.b[:]    = 1.0\n",
    "BC.top.c[:]    = c_top\n",
    "M_bc, RHS_bc   = boundaryConditionTerm(BC)\n",
    "\n",
    "# solve the equation\n",
    "c = solveLinearPDE(m, -M_diff+M_bc, RHS_bc)\n",
    "figure(figsize=(7,3))\n",
    "visualizeCells(c)\n",
    "colorbar()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.2 Diffusion equation with a constant source term"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's add a source term right in the middle of the domain (q=1.0 mol/s); do not forget to divide the source term by the volume of the cell. You can derive the equation for yourself (think about the constant source term as a flux to the boundary, right on top of the cell)\n",
    "$$\\nabla. (-D \\nabla c) = q$$\n",
    "Boundary conditions:\n",
    "$$c(x=0,\\; y)=1.0$$\n",
    "$$c(x=L_x,\\; y)=1.0$$\n",
    "$$c(x,\\; y=0)=1.0$$\n",
    "$$c(x,\\; y=L_y)=1.0$$\n",
    "$$q(x=L_x/2,\\; y=L_y/2)=1.0$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7f1cf49ccf90>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.colorbar.Colorbar object at 0x7f1cf4814c50>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using JFVM\n",
    "\n",
    "# domain\n",
    "Lx = 2.0\n",
    "Ly = 1.0\n",
    "Nx = 30\n",
    "Ny = 20\n",
    "c_left   = 1.0    # [mol/m^3]\n",
    "c_right  = 1.0    # [mol/m^3]\n",
    "c_bottom = 1.0    # [mol/m^3]\n",
    "c_top    = 1.0    # [mol/m^3]\n",
    "q        = 1.0e-4 # [mol/s]\n",
    "m  = createMesh2D(Nx, Ny, Lx, Ly)\n",
    "\n",
    "# diffusion coefficient\n",
    "D_val  = 1e-5                          # [m^2/s]\n",
    "D_cell = createCellVariable(m, D_val)\n",
    "D_face = harmonicMean(D_cell)\n",
    "M_diff = diffusionTerm(D_face)\n",
    "\n",
    "# Boundary conditions\n",
    "BC             = createBC(m)\n",
    "BC.left.a[:]   = 0.0\n",
    "BC.left.b[:]   = 1.0\n",
    "BC.left.c[:]   = c_left\n",
    "BC.right.a[:]  = 0.0\n",
    "BC.right.b[:]  = 1.0\n",
    "BC.right.c[:]  = c_right\n",
    "BC.bottom.a[:] = 0.0\n",
    "BC.bottom.b[:] = 1.0\n",
    "BC.bottom.c[:] = c_bottom\n",
    "BC.top.a[:]    = 0.0\n",
    "BC.top.b[:]    = 1.0\n",
    "BC.top.c[:]    = c_top\n",
    "M_bc, RHS_bc   = boundaryConditionTerm(BC)\n",
    "\n",
    "# source term\n",
    "q_cell = createCellVariable(m, 0.0)\n",
    "v_cell = cellVolume(m)\n",
    "q_cell.value[Int(Nx/2)+1, Int(Ny/2)+1] = q       # [mol/s]\n",
    "RHS_source  = constantSourceTerm(q_cell./v_cell) # [mol/m^3/s]\n",
    "\n",
    "# solve the equation\n",
    "c = solveLinearPDE(m, -M_diff+M_bc, RHS_bc+RHS_source)\n",
    "figure(figsize=(7,3))\n",
    "visualizeCells(c)\n",
    "colorbar()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.3 Diffusion equation with a linear source term"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now I'm going to add a source term that is a linear function of the variable (here concentration, k = 1e-4 1/s). Pay attention to the signs! I have moved the term to the left hand side, and you can see that the source term is indeed producing mass.\n",
    "$$\\nabla. (-D \\nabla c) - kc = 0$$\n",
    "Boundary conditions:\n",
    "$$c(x=0,\\; y)=1.0$$\n",
    "$$c(x=L_x,\\; y)=1.0$$\n",
    "$$c(x,\\; y=0)=1.0$$\n",
    "$$c(x,\\; y=L_y)=1.0$$\n",
    "$$q(x=L_x/2,\\; y=L_y/2)=1.0$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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kGQYeREREZBmlNKgggUWwz8OBgQcREVEECmVkUqMjl/YEBh5EREQRiI9aiIiIyDJ81BIumom5Wuyysfx98mkkIJ2Cwuc2UeYAnyjfgAGyOUEA4LKBjaJ8owfWisscE/2lrEynLB8AJEbJ6jvYZv1cLU7IfgdmeCCb88LMXC0XddlcLVWOOHGZg+ytonwOTTaPEiD/S9XbJpyHBEBTq3B+qyb5vCnia6aJ67T03tDt/cjEvUqKLR5ERERkGV23wad3H0TpQT4PBwYeREREEUgBUCp4Gqsx8CAiIopAOjRofKuFiIiIrMDOpURERGQZXWnQ2LmUiIiIrKBUCH08eqGTBwMPIiKiCMRHLURERGQZBh5ERERkGfbxICIiIsvoOqDpQQIP+eC5Yv0/8DA1ZLosr+6Ql6kLv3HdKe8BZHMKh0x3y4dMH+puFuVLcNWJy5QOfZ7kvCAuM9Euq+9Qm1dc5kCbbKTBKFg/QqEXsv1s1GVDkANAjN4iyheltYnLlGqVXhAANLS5RPnqWuXzL7Q4ZeOQ6075fkqvt2au09J7Q18bMr2vPmoRXYm2bt2K5ORkuN1upKSk4NixY92mv3jxIrKzszFixAi4XC5MmDABhw4dElWYiIiIglMhLlYzHIbu27cPubm5KCwsREpKCrZs2YL09HScOXMG8fHxHdJ7PB4sXLgQ8fHx+NOf/oRRo0bhk08+weDBg3tkB4iIiKijiGnx2Lx5M1atWoWsrCxMnjwZhYWFGDBgAHbu3Nlp+p07d+LLL7/EwYMHMXfuXCQnJ2PevHmYPn266coTERFRF8LQ5PHAAw9A07SAZdKkSYa2YSjw8Hg8KCsrQ1pa2jcbsNmQlpaG0tLSTvP8+c9/RmpqKrKzs5GQkICrrroKGzZsgM9n/RTdRERE3xtft3h0t0DQ4jFlyhR8/vnn/uX11183lN/Qo5bz58/D5/MhISEhYH1CQgJOnz7daZ6PPvoIL7/8MpYvX45Dhw7h7Nmz+NnPfgav14v8/PxO87S2tqK19ZvOZXV18g6HRERE30fhGrnU4XAgMTFRVikIO5caoes64uPj8fjjj2PWrFlYunQpfvnLX6KwsLDLPAUFBYiLi/MvSUlJ4a4mERFRRAnW2vHtPiB1dXUBy7f/+P+uDz74ACNHjsT48eOxfPlynDt3zlC9DAUew4YNg91uR3V1dcD66urqLqOfESNGYMKECbDb7f51V155JaqqquDxdP66Zl5eHmpra/1LZWWlkWoSERFR+6OUYAuApKSkgD/4CwoKOt1kSkoKdu/ejaKiImzbtg0VFRW4/vrrUV9fH3K1DD1qcTqdmDVrFoqLi5GRkQHgUotGcXExcnJyOs0zd+5c7NmzB7quw/b1+APvv/8+RowYAWcX74S7XC64XLJ31ImIiMjYo5bKykrExsb613d1D77pppv8/z1t2jSkpKRg7Nix2L9/P+64446Q6mX4UUtubi62b9+OJ554Au+99x5Wr16NxsZGZGVlAQBWrlyJvLw8f/rVq1fjyy+/xN133433338fL7zwAjZs2IDs7GyjRRMREVGIlK6FtABAbGxswBLqH/+DBw/GhAkTcPbs2ZDrZXgcj6VLl+KLL77AunXrUFVVhRkzZqCoqMjf4fTcuXP+lg3gUvPN4cOHcc8992DatGkYNWoU7r77bqxdu9Zo0URERGREmEcIa2howIcffogVK1aEnEc0jm1OTk6Xj1ZKSko6rEtNTcXRo0clRREREZFAOAYQu/fee7FkyRKMHTsWf/vb35Cfnw+73Y5ly5aFvI3+P1eLCdIB25SJd4GUPXiazvOZmKvFIcvrtMvHWhlgl83zMshuYo4Ou2yOjhhNlg8ABgvnXBlsk5960VqUKF+UZv3p7lWy+U+iTMxlo4vnh5H/DqS/PTO/d+k5Zua8ll5LdBPXL+m8Kaau09YP5hkeoQwQZvDQfPrpp1i2bBkuXLiA4cOH47rrrsPRo0cxfPjwkLfxvQ48iIiIIpf29RIsTej27t0rrk07Bh5ERESRKAwtHj2BgQcREVEkYuBBRERElgllLpZe6NDCwIOIiCgChWuuFrMYeBAREUUiXbu0BEtjMQYeREREEUhTl5ZgaazGwIOIiCgSsXMpERERWYadS4mIiMgybPEgIiIiyzDwICIiIssw8CAiIiLLsI8HERERWYWv0xIREZF1+KiFiIiIrKIhhBYPS2oSiIEHERFRJGIfDyIiIrIMH7UQERGRZRh4EBERkVX4VgsRERFZhy0eREREZBkGHn2PtIlJ002U6ZPmk/c81ttkeT0+u7jMJp9TlK/B5xKXWe9zy/LZZfkA4KLuEeWzwSsu02uT/QCjlLxMKS9kdW3U5SfZRT1KlK9eyX8H0t+emd+79Bwzc15LryVmrl/ia6aZ63Qv3IzDgY9aiIiIyDq6dmkJlsZiNstLJCIiorBrb/EItpixceNGaJqGNWvWhJyHLR5ERESRKMx9PN5++2089thjmDZtmqF8bPEgIiKKRKG0dggDj4aGBixfvhzbt2/HkCFDDOVl4EFERBSJVIgLgLq6uoCltbW1201nZ2dj8eLFSEtLM1wtBh5ERESRyEDgkZSUhLi4OP9SUFDQ5Wb37t2L48ePd5umO+zjQUREFIGMvE5bWVmJ2NhY/3qXq/NXvSsrK3H33XfjyJEjcLtlr5Ez8CAiIvqei42NDQg8ulJWVoaamhrMnDnTv87n8+G1117D7373O7S2tsJu736sGAYeREREkSgMb7XccMMNOHnyZMC6rKwsTJo0CWvXrg0adAAMPIiIiCJSOEYujYmJwVVXXRWwbuDAgbjssss6rO8KAw8iIqJIpICgsxZwyHQBJf/WNJ8sr61NXqZNONeBzSMf1tbrkc3N0NQimwsCAL50RYvyDXIEf8bYFZetTZxXyhslO4XqbU3iMgfYZPPDOCGc9MIED2TzpjTp8t/eRX2AKF+VN05c5qeeoaJ81a3y3/uXLbJzzMx5rQuvJVEmrl/S09rMdVp6b+j2fmTiXiVl1VwtJSUlhtKLXqfdunUrkpOT4Xa7kZKSgmPHjoWUb+/evdA0DRkZGZJiiYiIKFQGXqe1kuHAY9++fcjNzUV+fj6OHz+O6dOnIz09HTU1Nd3m+/jjj3Hvvffi+uuvF1eWiIiIQmPFXC0ShgOPzZs3Y9WqVcjKysLkyZNRWFiIAQMGYOfOnV3m8fl8WL58OdavX4/x48ebqjARERGFIBJaPDweD8rKygKGSLXZbEhLS0NpaWmX+X79618jPj4ed9xxR0jltLa2dhi+lYiIiAyIhMDj/Pnz8Pl8SEhICFifkJCAqqqqTvO8/vrr2LFjB7Zv3x5yOQUFBQFDtyYlJRmpJhER0fdexDxqMaK+vh4rVqzA9u3bMWzYsJDz5eXloba21r9UVlaGsZZEREQRqI+2eBh6F3DYsGGw2+2orq4OWF9dXY3ExMQO6T/88EN8/PHHWLJkiX+drl96qdjhcODMmTO4/PLLO+RzuVxdjhNPREREIQjDyKU9wVCLh9PpxKxZs1BcXOxfp+s6iouLkZqa2iH9pEmTcPLkSZSXl/uXf/zHf8SCBQtQXl7ORyhERERhoumhLVYzPPpRbm4uMjMzMXv2bMyZMwdbtmxBY2MjsrKyAAArV67EqFGjUFBQALfb3WEI1cGDBwNAyEOrEhERkXFWDSBmlOHAY+nSpfjiiy+wbt06VFVVYcaMGSgqKvJ3OD137hxstrB2HSEiIqJg+uijFtF4zzk5OcjJyen0s2BDp+7evVtSZNdMDZkua2Oyy0asBgAIR7uGvUVepq9JNsxxi0s+tPIFx0BRPpuJ8LtNyQLeBp+8P9H5thhRvji79UOmR2m9MKS8kg0pb2bI9FqfbMj0895B4jJrWmW/g6omWT4AuNAoO8damuTfrU14LTFz/RJfM01cp6X3hr42ZHpEBR5ERETUt2lfL8HSWI2BBxERUSRiiwcRERFZJWI6lxIREVE/wBYPIiIislQvBBbBMPAgIiKKQKEMENYvBhAjIiKivo99PIiIiMg67ONBREREVmGLBxEREVmHLR5ERERkGQYeYaKbmKvF6xPls3vk3YAdzbL5RByN4iKhO2Vlem1R4jLrdNlAvN422VwQAFDf6hblq3HL5+iIdbaK8g1yyPIBgMsmm3PFYZP93s1o02XHs1WXX5oa2mRz79R55HP21LZEi/LVN8vLbG4Q5q2Xf7dRDdZfvxzNsnxmrtPSe0O39yMT9yqpvvqohdPIEhERRSIV4mLAtm3bMG3aNMTGxiI2Nhapqal48cUXDW2DgQcREVEE0pQKaTFi9OjR2LhxI8rKyvDOO+/gH/7hH3DLLbfg3XffDXkb/f9RCxEREXUQjgHElixZEvDvhx56CNu2bcPRo0cxZcqUkLbBwIOIiCgShblzqc/nw9NPP43GxkakpqaGnI+BBxERUQQy0rm0rq4uYL3L5YLL1XkH5pMnTyI1NRUtLS0YNGgQDhw4gMmTJ4dcL/bxICIiikQGOpcmJSUhLi7OvxQUFHS52YkTJ6K8vBxvvfUWVq9ejczMTPz1r38NuVps8SAiIopARlo8KisrERsb61/fVWsHADidTlxxxRUAgFmzZuHtt9/Go48+isceeyykejHwICIiikQG+ni0vx4roes6WltDH5uIgQcREVGE6ukBwvLy8nDTTTdhzJgxqK+vx549e1BSUoLDhw+HvA0GHkRERJFIqUtLsDQG1NTUYOXKlfj8888RFxeHadOm4fDhw1i4cGHI2+j3gYfyyYeB1jyyoaftzfKheJ2Nsrx6lIl+wLLRy6H55MOXt3ll9W1ulpfZ7JYNIf2le4C4zKgo2e8vyiH/3Trsst+Q3egL+z3Ap2S/gzaf/PcuHXbf6zXxe28RXkpb5GXahOeKo0F4QQAQVS/L5xTmA+TXTDPXaem9obv7kVLWT1kQjiHTd+zYIa/Q1/p94EFERESd4CRxREREZBXNB2hBGg816xtiGHgQERFFor46Oy0DDyIiokgUhs6lPYGBBxERUQRiiwcRERFZh51LiYiIyCps8SAiIiLrsI8HERERWYUtHkRERGQd9vEgIiIiq2g+Bc3WfWSh+fioxTgzc7W0eEX5HA2yfADgjJLPkyBla5PNe2EPfZbjDtoaZfvpc8t/krpTltfncorLbHHITtpmu4mTXTqNSZALUFjowt+7iWllNJ+sTK3NxBwmrbK8No+4SNhbZPkczfIyoxpl+ZwNJua3qpVd481cp6X3hm7nDuuFuVr6aouH6BK2detWJCcnw+12IyUlBceOHesy7fbt23H99ddjyJAhGDJkCNLS0rpNT0REROZp+KafR5dLL9TLcOCxb98+5ObmIj8/H8ePH8f06dORnp6OmpqaTtOXlJRg2bJleOWVV1BaWoqkpCQsWrQIn332menKExERURfa32oJtljMcOCxefNmrFq1CllZWZg8eTIKCwsxYMAA7Ny5s9P0Tz75JH72s59hxowZmDRpEv7whz9A13UUFxebrjwRERF1LmhrRwhvvYSDocDD4/GgrKwMaWlp32zAZkNaWhpKS0tD2kZTUxO8Xi+GDh3aZZrW1lbU1dUFLERERGSACnGxmKHA4/z58/D5fEhISAhYn5CQgKqqqpC2sXbtWowcOTIgePmugoICxMXF+ZekpCQj1SQiIvre05QKabGatH+8yMaNG7F3714cOHAAbre7y3R5eXmora31L5WVlRbWkoiIKALoIS4WM/T+4bBhw2C321FdXR2wvrq6GomJid3m3bRpEzZu3IiXXnoJ06ZN6zaty+WCy+UyUjUiIiL6llBaNPp8i4fT6cSsWbMCOoa2dxRNTU3tMt9vfvMbPPjggygqKsLs2bPltSUiIqLQ6Cq0xWKGR1zKzc1FZmYmZs+ejTlz5mDLli1obGxEVlYWAGDlypUYNWoUCgoKAAAPP/ww1q1bhz179iA5OdnfF2TQoEEYNGhQD+4KERERtYuYuVqWLl2KL774AuvWrUNVVRVmzJiBoqIif4fvJ1+uAAASlElEQVTTc+fOwWb7piFl27Zt8Hg8+Kd/+qeA7eTn5+OBBx4wV3siIiLqXCTNTpuTk4OcnJxOPyspKQn498cffywpImTdDlEbhNYiGxPcXi8f1ls6OLfNGyUu09Ek60PcFi3ve+xzCYdMd8rH0dOFX5FuYhh73SbLq+ziIqGkh6U3higUXtM0U0Omy/LZTJRpE47OLc0HAHaP7Mu1t8pvNI5m2ZfkaJJ/udKhz+31JsaGF94bursfqV4YMl3Tg59LZs41qf4/VwsRERF11EdbPCx9nZaIiIgsEoYBxAoKCnDNNdcgJiYG8fHxyMjIwJkzZwxtg4EHERFRBArHAGKvvvoqsrOzcfToURw5cgRerxeLFi1CY2PoUxfzUQsREVEkCsOjlqKiooB/7969G/Hx8SgrK8Pf//3fh7QNBh5ERESRSCH4yKRfxx3fnRMt1IE8a2trAaDb+de+i49aiIiIIpCmK2i6HmS5FHkkJSUFzJHWPhZXd3Rdx5o1azB37lxcddVVIdeLLR5ERESRyMCjlsrKSsTGxvpXh9LakZ2djVOnTuH11183VC0GHkRERJFIR/Dxe75+FBMbGxsQeASTk5OD559/Hq+99hpGjx5tqFoMPIiIiCJQOCaJU0rh5z//OQ4cOICSkhKMGzfOcL0YeBAREUWiMLzVkp2djT179uC5555DTEyMf/61uLg4REdHh7QNdi4lIiKKRO2BR7DFgG3btqG2thbz58/HiBEj/Mu+fftC3kb/b/FoaxNnVU1NonxGm6a+zdEqq6+9QT5Xi9MpO8y6MN+lvLKYVtnlsbB0zhUlnG8FAJRDmNfEvClKmlfrhclahOeKqRkzpfPDtMkL1YRTi9u8Jsr0ySbZsHnkk3PYPLLrlybMBwBai3BCm+YWcZmqWTjPS3f3o16YqyUcLR6qB4ZY7/+BBxEREXVkoHOplRh4EBERRaBwdC7tCQw8iIiIIlEfnZ2WgQcREVEk8ukI+ixF2FfIDAYeREREESmUt1bY4kFEREQ9gY9aiIiIyDK6QtAWDeGr4GYw8CAiIopESr+0BEtjMQYeREREkYiPWoiIiMgyfNQSHrpXPhSvraFRlE+ZGIpXcwi/crtdXKZNmNdmYihx2IRDn0vzAfIhwc0MJd4bw5CbOS79RS9cDE395SfNa6ZMXdhELs0HiI+L8smHC5fmVSam04CwzO7uR7oyUR8ptngQERGRZRRCCDwsqUkABh5ERESRyOcLPjmdbv3kdQw8iIiIIhEftRAREZFlGHgQERGRZfhWCxEREVlFKR0qyABhwT4PBwYeREREkUip4C0afNRCREREPUKF8KiFgQcRERH1CF0HNM7VQkRERFZgiwcRERFZRfl8UFr3A4SpYAOMhUH/DzxMNBPpHk8PVoSIiKgLvfBIA7oCtL7X4iGakWvr1q1ITk6G2+1GSkoKjh071m36p59+GpMmTYLb7cbUqVNx6NAhUWWJiIgoREpdCni6XYwHHq+99hqWLFmCkSNHQtM0HDx40FB+w4HHvn37kJubi/z8fBw/fhzTp09Heno6ampqOk3/5ptvYtmyZbjjjjtw4sQJZGRkICMjA6dOnTJaNBEREYVI6SqkxajGxkZMnz4dW7duFdVLU8pYuJOSkoJrrrkGv/vd7wAAuq4jKSkJP//5z3Hfffd1SL906VI0Njbi+eef96/7u7/7O8yYMQOFhYUhlVlXV4e4uDjMxy1waFFGqktERNTr2pQXJXgOtbW1iI2NDWtZ7ffMBfb/F/Se2aa8eMX3rLhemqbhwIEDyMjICDmPoT4eHo8HZWVlyMvL86+z2WxIS0tDaWlpp3lKS0uRm5sbsC49Pb3bppnW1la0trb6/11bWwsAaIO3V6bwJSIiMqMNXgCAwb/1TfHqHqggN832etXV1QWsd7lccLlcYamXocDj/Pnz8Pl8SEhICFifkJCA06dPd5qnqqqq0/RVVVVdllNQUID169d3WP862DeEiIj6rwsXLiAuLi6sZTidTiQmJuL1queDJwYwaNAgJCUlBazLz8/HAw88EIba9dG3WvLy8gJaSS5evIixY8fi3LlzYT9gVqqrq0NSUhIqKyvD3vRmJe5X/xOp+8b96l8idb+ASy33Y8aMwdChQ8NeltvtRkVFBTwhvrmplIKmaQHrwtXaARgMPIYNGwa73Y7q6uqA9dXV1UhMTOw0T2JioqH0QNdNPHFxcRH3YwSA2NhY7lc/Eqn7BUTuvnG/+pdI3S/gUvcEK7jdbrjdbkvKMsrQN+B0OjFr1iwUFxf71+m6juLiYqSmpnaaJzU1NSA9ABw5cqTL9ERERBS5DD9qyc3NRWZmJmbPno05c+Zgy5YtaGxsRFZWFgBg5cqVGDVqFAoKCgAAd999N+bNm4f//M//xOLFi7F371688847ePzxx3t2T4iIiCjsGhoacPbsWf+/KyoqUF5ejqFDh2LMmDFB89sfMNh75KqrrsLgwYPx0EMPYdOmTQCAJ598EhMnTgQAPProo3A4HP5Xa5KSknDllVfit7/9LTZu3Ijq6mrs2LEDc+fONVIs7HY75s+fD4ejT3ZLEeN+9S+Rul9A5O4b96t/idT9AiJn3958802kpqbiscceAwAcPnwYjz32GL766quQXqs1PI4HERERkZQ1vVyIiIiIwMCDiIiILMTAg4iIiCzDwIOIiIgs0yuBx9atW5GcnAy3242UlBQcO3as2/RPP/00Jk2aBLfbjalTp+LQocCh05VSWLduHUaMGIHo6GikpaXhgw8+COcudMnIvm3fvh3XX389hgwZgiFDhiAtLa1D+p/85CfQNC1gufHGG8O9Gx0Y2a/du3d3qPN3B7LpK8fMyH7Nnz+/w35pmobFixf70/SF4yWZsrqkpAQzZ86Ey+XCFVdcgd27d3dIY/S87WlG9+vZZ5/FwoULMXz4cMTGxiI1NRWHDx8OSPPAAw90OF6TJk0K5250YHS/SkpKOv0dfncait4+XoDxfevs/NE0DVOmTPGn6e1jVlBQgGuuuQYxMTGIj49HRkYGzpw5EzRff7qPhZvlgce+ffuQm5uL/Px8HD9+HNOnT0d6ejpqamo6Tf/mm29i2bJluOOOO3DixAlkZGQgIyMDp06d8qf5zW9+g//6r/9CYWEh3nrrLQwcOBDp6eloaWmxarcAGN+3kpISLFu2DK+88gpKS0uRlJSERYsW4bPPPgtId+ONN+Lzzz/3L0899ZQVu+NndL+ASyMPfrvOn3zyScDnfeGYGd2vZ599NmCfTp06BbvdjltvvTUgXW8fL6NTVldUVGDx4sVYsGABysvLsWbNGtx5550BN2nJb6CnGd2v1157DQsXLsShQ4dQVlaGBQsWYMmSJThx4kRAuilTpgQcr9dffz0c1e+SdIrxM2fOBNQ7Pj7e/1lfOF6A8X179NFHA/apsrISQ4cO7XCO9eYxe/XVV5GdnY2jR4/iyJEj8Hq9WLRoERobG7vM05/uY5ZQFpszZ47Kzs72/9vn86mRI0eqgoKCTtP/6Ec/UosXLw5Yl5KSov7lX/5FKaWUrusqMTFR/fa3v/V/fvHiReVyudRTTz0Vhj3omtF9+662tjYVExOjnnjiCf+6zMxMdcstt/R4XY0wul+7du1ScXFxXW6vrxwzs8frkUceUTExMaqhocG/ri8cr28DoA4cONBtml/84hdqypQpAeuWLl2q0tPT/f82+131tFD2qzOTJ09W69ev9/87Pz9fTZ8+vSerZkoo+/XKK68oAOqrr77qMk1fO15KyY7ZgQMHlKZp6uOPP/av62vHrKamRgFQr776apdp+tN9zAqWtnh4PB6UlZUhLS3Nv85msyEtLQ2lpaWd5iktLQ1IDwDp6en+9BUVFaiqqgpIExcXh5SUlC63GQ6SffuupqYmeL3eDpMIlZSUID4+HhMnTsTq1atx4cKFHq17d6T71dDQgLFjxyIpKQm33HIL3n33Xf9nfeGY9cTx2rFjB2677TYMHDgwYH1vHi+JYOdYT3xXfYGu66ivr+9wfn3wwQcYOXIkxo8fj+XLl+PcuXO9VENjZsyYgREjRmDhwoV44403/Osj5XgBl86xtLQ0jB07NmB9XzpmtbW1ANDt5G/95T5mFUsDj/Pnz8Pn8yEhISFgfUJCQofnk+2qqqq6Td/+/0a2GQ6SffuutWvXYuTIkQE/vhtvvBH/8z//g+LiYjz88MN49dVXcdNNN8Hn8/Vo/bsi2a+JEydi586deO655/DHP/4Ruq7j2muvxaeffgqgbxwzs8fr2LFjOHXqFO68886A9b19vCS6Osfq6urQ3NzcI7/tvmDTpk1oaGjAj370I/+6lJQU7N69G0VFRdi2bRsqKipw/fXXo76+vhdr2r0RI0agsLAQzzzzDJ555hkkJSVh/vz5OH78OICeuRb1BX/729/w4osvdjjH+tIx03Uda9aswdy5c3HVVVd1ma6/3Mes0r/HbY0gGzduxN69e1FSUhLQEfO2227z//fUqVMxbdo0XH755SgpKcENN9zQG1UNKjU1NWASwGuvvRZXXnklHnvsMTz44IO9WLOes2PHDkydOhVz5swJWN8fj9f3wZ49e7B+/Xo899xzAX0hbrrpJv9/T5s2DSkpKRg7diz279+PO+64ozeqGtTEiRP9U1QAl86vDz/8EI888gj+93//txdr1rOeeOIJDB48uMMQ3H3pmGVnZ+PUqVOW9wvq7yxt8Rg2bBjsdjuqq6sD1ldXVyMxMbHTPImJid2mb/9/I9sMB8m+tdu0aRM2btyIv/zlL5g2bVq3acePH49hw4YFTNATTmb2q11UVBSuvvpqf537wjEzs1+NjY3Yu3dvSBc5q4+XRFfnWGxsLKKjo3vkN9Cb9u7dizvvvBP79+/v0Nz9XYMHD8aECRP69PHqzJw5c/x17u/HC7j0hsfOnTuxYsUKOJ3ObtP21jHLycnB888/j1deeQWjR4/uNm1/uY9ZxdLAw+l0YtasWSguLvav03UdxcXFAX8hf1tqampAegA4cuSIP/24ceOQmJgYkKaurg5vvfVWl9sMB8m+AZd6Mj/44IMoKirC7Nmzg5bz6aef4sKFCxgxYkSP1DsY6X59m8/nw8mTJ/117gvHzMx+Pf3002htbcXtt98etByrj5dEsHOsJ34DveWpp55CVlYWnnrqqYDXnrvS0NCADz/8sE8fr86Ul5f769yfj1e7V199FWfPng0puLf6mCmlkJOTgwMHDuDll1/GuHHjgubpL/cxy1jdm3Xv3r3K5XKp3bt3q7/+9a/qrrvuUoMHD1ZVVVVKKaVWrFih7rvvPn/6N954QzkcDrVp0yb13nvvqfz8fBUVFaVOnjzpT7Nx40Y1ePBg9dxzz6n/+7//U7fccosaN26cam5u7tP7tnHjRuV0OtWf/vQn9fnnn/uX+vp6pZRS9fX16t5771WlpaWqoqJCvfTSS2rmzJnqBz/4gWppaemz+7V+/Xp1+PBh9eGHH6qysjJ12223Kbfbrd59992Afe/tY2Z0v9pdd911aunSpR3W95XjVV9fr06cOKFOnDihAKjNmzerEydOqE8++UQppdR9992nVqxY4U//0UcfqQEDBqh///d/V++9957aunWrstvtqqioyJ8m2HfVF/frySefVA6HQ23dujXg/Lp48aI/zb/927+pkpISVVFRod544w2Vlpamhg0bpmpqavrsfj3yyCPq4MGD6oMPPlAnT55Ud999t7LZbOqll17yp+kLx0uyb+1uv/12lZKS0uk2e/uYrV69WsXFxamSkpKA31VTU5M/TX++j1nB8sBDKaX++7//W40ZM0Y5nU41Z84cdfToUf9n8+bNU5mZmQHp9+/fryZMmKCcTqeaMmWKeuGFFwI+13Vd3X///SohIUG5XC51ww03qDNnzlixKx0Y2bexY8cqAB2W/Px8pZRSTU1NatGiRWr48OEqKipKjR07Vq1atcryi4dSxvZrzZo1/rQJCQnq5ptvVsePHw/YXl85ZkZ/i6dPn1YA1F/+8pcO2+orx6v9dcvvLu37kpmZqebNm9chz4wZM5TT6VTjx49Xu3bt6rDd7r4rKxjdr3nz5nWbXqlLrw2PGDFCOZ1ONWrUKLV06VJ19uzZPr1fDz/8sLr88suV2+1WQ4cOVfPnz1cvv/xyh+329vFSSvZbvHjxooqOjlaPP/54p9vs7WPW2f4ACDhn+vt9LNw0pZQKW3MKERER0bdwrhYiIiKyDAMPIiIisgwDDyIiIrIMAw8iIiKyDAMPIiIisgwDDyIiIrIMAw8iIiKyDAMPIiIisgwDDyIiIrIMAw8iIiKyDAMPIiIisgwDDyIiIrLM/wfKrYrxsAfXOAAAAABJRU5ErkJggg==",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7f1ce5e6bf50>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.colorbar.Colorbar object at 0x7f1ce5e2ecd0>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using JFVM\n",
    "\n",
    "# domain\n",
    "Lx = 2.0\n",
    "Ly = 1.0\n",
    "Nx = 30\n",
    "Ny = 20\n",
    "c_left   = 1.0    # [mol/m^3]\n",
    "c_right  = 1.0    # [mol/m^3]\n",
    "c_bottom = 1.0    # [mol/m^3]\n",
    "c_top    = 1.0    # [mol/m^3]\n",
    "k        = 1.0e-4 # [1/s]\n",
    "m  = createMesh2D(Nx, Ny, Lx, Ly)\n",
    "\n",
    "# diffusion coefficient\n",
    "D_val  = 1e-5                          # [m^2/s]\n",
    "D_cell = createCellVariable(m, D_val)\n",
    "D_face = harmonicMean(D_cell)\n",
    "M_diff = diffusionTerm(D_face)\n",
    "\n",
    "# Boundary conditions\n",
    "BC             = createBC(m)\n",
    "BC.left.a[:]   = 0.0\n",
    "BC.left.b[:]   = 1.0\n",
    "BC.left.c[:]   = c_left\n",
    "BC.right.a[:]  = 0.0\n",
    "BC.right.b[:]  = 1.0\n",
    "BC.right.c[:]  = c_right\n",
    "BC.bottom.a[:] = 0.0\n",
    "BC.bottom.b[:] = 1.0\n",
    "BC.bottom.c[:] = c_bottom\n",
    "BC.top.a[:]    = 0.0\n",
    "BC.top.b[:]    = 1.0\n",
    "BC.top.c[:]    = c_top\n",
    "M_bc, RHS_bc   = boundaryConditionTerm(BC)\n",
    "\n",
    "# linear source term (reaction)\n",
    "k_cell = createCellVariable(m, k)\n",
    "M_source  = linearSourceTerm(k_cell) # [mol/m^3/s]\n",
    "\n",
    "# solve the equation\n",
    "c = solveLinearPDE(m, -M_source-M_diff+M_bc, RHS_bc)\n",
    "figure(figsize=(7,3))\n",
    "visualizeCells(c)\n",
    "colorbar()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Transient diffusion equation\n",
    "The transient diffussion equation,\n",
    "$$\\frac{\\partial c}{\\partial t} + \\nabla. (-D \\nabla c) = 0,$$\n",
    "can be solved in JFVM.jl by discretizing the accumulation term. Right now, only forward difference discretization (Euler) is available. It is not difficult to implement other time stepping methods."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Advection equation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Cahn-Hilliard\n",
    "For more information about this equation, see [its wikipedia page](https://en.wikipedia.org/wiki/Cahn–Hilliard_equation) and [this FiPy solution](https://www.ctcms.nist.gov/fipy/examples/cahnHilliard/generated/examples.cahnHilliard.mesh2D.html) that I have reproduced below in JFVM.jl. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10.0\n",
      "20.0\n",
      "30.0\n",
      "40.0\n",
      "50.0\n",
      "60.0\n",
      "70.0\n",
      "80.0\n",
      "90.0\n",
      "100.0\n",
      "110.0\n",
      "120.0\n",
      "130.0\n",
      "140.0\n",
      "150.0\n",
      "160.0\n",
      "170.0\n",
      "180.0\n",
      "190.0\n",
      "200.0\n",
      "210.0\n",
      "220.0\n",
      "230.0\n",
      "240.0\n",
      "250.0\n",
      "260.0\n",
      "270.0\n",
      "280.0\n",
      "290.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7f9fb1d54410>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "300.0\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.colorbar.Colorbar object at 0x7f9faf289510>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using JFVM, Distributions\n",
    "\n",
    "nx=200\n",
    "ny=200\n",
    "m=createMesh2D(nx, ny, 200.0, 200.0)\n",
    "BC=createBC(m)\n",
    "#BC.left.a[:]=0.0 \n",
    "#BC.left.b[:]=1.0\n",
    "#BC.left.c[:]=1.0\n",
    "#BC.right.a[:]=0.0\n",
    "#BC.right.b[:]=1.0\n",
    "#BC.right.c[:]=0.0\n",
    "D=1.0\n",
    "a=1.0\n",
    "e=1.0\n",
    "D_cell=createCellVariable(m, 1.0)\n",
    "D_face=arithmeticMean(D_cell)\n",
    "e_cell=createCellVariable(m, 1.0)\n",
    "e_face  = arithmeticMean(e_cell)\n",
    "phi_old=createCellVariable(m, rand(Normal(0.5, 0.01), nx,ny))\n",
    "phi_init=copyCell(phi_old)\n",
    "phi=copyCell(phi_old)\n",
    "Mbc, RHSbc=boundaryConditionTerm(BC)\n",
    "Mdif2=diffusionTerm(D_face)*diffusionTerm(e_face.*e_face)\n",
    "t_final = 300\n",
    "t = 0.0\n",
    "dexp = -5.0\n",
    "while t<t_final\n",
    "    dt = 10 #min(100.0, exp(dexp)) # uncomment these lines to get smaller time-step\n",
    "    # dexp += 0.01\n",
    "    t += dt\n",
    "    println(t)\n",
    "    phi_face=arithmeticMean(phi)\n",
    "    Mt, RHSt=transientTerm(phi_old, dt)\n",
    "    Mdif1=diffusionTerm(a^2*D_face.*(1.0-6.0*phi_face.*(1-phi_face)))\n",
    "    M=Mbc-Mdif1+Mdif2+Mt\n",
    "    RHS=RHSt+RHSbc\n",
    "    phi=solveMUMPSLinearPDE(m,M,RHS)\n",
    "    phi_old=copyCell(phi)\n",
    "end\n",
    "visualizeCells(phi)\n",
    "colorbar()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 0.6.0",
   "language": "julia",
   "name": "julia-0.6"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "0.6.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
